Integral representations of Dini series of Bessel functions

DOI10.1080/10652469.2012.728594zbMath1286.33007OpenAlexW2032301601MaRDI QIDQ2854309

Tibor K. Pogány, Árpád Baricz, Dragana Jankov

Publication date: 18 October 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2012.728594

zbMATH Keywords

Schlömilch seriesBessel functions of the first kindKapteyn seriesDini series of Bessel functionsnon-homogeneous Bessel differential equation

Mathematics Subject Classification ID

Integral methods for summability (40C10) Convergence and divergence of series and sequences of functions (40A30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

• Finite Hankel transforms of distributions
• Integral representations for Neumann-type series of Bessel functions $I_{𝜈},$ $Y_{𝜈}$ and $K_{𝜈}$
• Neumann series of Bessel functions
• Integral representation for Neumann series of Bessel functions
• Integral representation of first kind Kapteyn series

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